1 of 10

1

2 of 10

2

3 of 10

3

4 of 10

4

5 of 10

5

6 of 10

6

7 of 10

7

Solve simultaneously by substitution.

3x - 2y = 29 (1)

4x + y = 24 (2)

8 of 10

8

Solve simultaneously by substitution.

3x - 2y = 29 (1)

4x + y = 24 (2)

Answer

4x + y = 24 solve equation (2) for y. Label the new equation (3).

y = 24 - 4x (3)

3x - 2y = 29 (1) Substitution (3) into (1) by replacing y with 24 - 4x.

3x - 2(24-4x) = 29

3x - 48 + 8x - 29 Remove brackets.

3x + 8x = 29 + 48 Subtract 8x and add 48 to both sides .

11x = 77 Add like terms.

x = 7 Divide both sides by 11 .

So, x = 7

x = 7 and y = -4

9 of 10

9

10 of 10

10

Answer